On the Relationship between Interval Observers and Invariant Sets in Fault Detection

Feng Xu (1) , Florin Stoican (2) , Vicenc Puig (1) , Carlos Ocampo-Martinez (1) , Sorin Olaru (3, 4)

1 UPC - Universitat Politècnica de Catalunya [Barcelona]
2 UPB - University Politehnica of Bucharest [Romania]
3 DISCO - Dynamical Interconnected Systems in COmplex Environments
4 E3S - Supélec Sciences des Systèmes

In this paper, the relationship between two set-based fault detection (FD) approaches, the interval observer-based and the invariant set-based approaches, is investigated. In FD, an interval observer has been shown to be suitable to generate adaptive thresholds for residuals, which can monitor the system behavior in real time. Invariant sets focus more on the steady state behavior of the system rather than on the transient behavior. This paper discusses these two approaches, presents a relationship between them and compares them in the FD task. At the end, simulation examples are used to compare and discuss these two approaches.

Domains: Automatic

Feng Xu, Florin Stoican, Vicenc Puig, Carlos Ocampo-Martinez, Sorin Olaru. On the Relationship between Interval Observers and Invariant Sets in Fault Detection. Systol 2013 - 2nd International Conference on Control and Fault-Tolerant Systems, Oct 2013, Nice, France. pp.49-54, ⟨10.1109/SysTol.2013.6693849⟩. ⟨hal-00918180⟩